Answer:
And we can find this probability using the normal standard distribution table and we got:
And the percentage faster than 13.28 seconds would be 91.9%
Step-by-step explanation:
Let X the random variable that represent the runtimes of a population, and for this case we know the distribution for X is given by:
Where 
and 
We want to find this probability:
And we can use the z score formula given by:
Using this formula we have:
And we can find this probability using the normal standard distribution table and we got:
And the percentage faster than 13.28 seconds would be 91.9%
It takes them 12 seconds to eat the whole sausage.
<h3>What is speed?</h3>
Speed is the rate of change of distance.
Analysis:
If kitten eats x cm, then puppy will eat 14 - x cm
speed = d/t
speed of kitten = 1/2
speed of puppy = 2/3
1/2 = x/t
2/3 = 14 - x / t
t = 2x--------1
2t = 3(14 - x ) -------- 2
substitute t in equation 2
2(2x) = 3(14 - x)
4x = 42 - 3x
7x = 42
x = 42/7 = 6cm
substitute value of x in equation 1
t = 2(60 = 12 seconds.
In conclusion, it takes the both animals 12 seconds to finish the sausage.
Learn more about speed: brainly.com/question/4931057
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The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.
<h3 /><h3>What is a type II error?</h3>
A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.
It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.
<h3>How the type II error is related to the significance level?</h3>
The relation between type II error and the significance level(α):
- The higher values of significance level make it easier to reject the null hypothesis. So, the probability of type II error decreases.
- The lower values of significance level make it fail to reject a false null hypothesis. So, the probability of type II error increases.
- Thus, if the significance level increases, the type II error decreases and vice-versa.
From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.
Learn more about type II error of a hypothesis test here:
brainly.com/question/15221256
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In order to change a fraction into a decimal you must divide the numerator by the decimal so divide 1 by 8 and so as you go through the equation you get a decimal number because 8 cannot go into 1 of course.
Answer: 0.125 is the amount you ate in decimal form
